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Finding the Fourth Proportional to 4,965.75, 6,852.49 and 2,975.92

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Solution

The fourth proportional to 4,965.75, 6,852.49 and 2,975.92 is: 4,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.75 : 6,852.49 = 2,975.92 : x
  2. Step 2: Convert to fraction form
    4,965.75/6,852.49 = 2,975.92/x
  3. Step 3: Cross multiply
    4,965.75x = 6,852.49 × 2,975.92
  4. Step 4: Simplify right side
    4,965.75x = 20,392,437.47
  5. Step 5: Solve for x
    x = 20,392,437.47/4,965.75
  6. Step 6: Final answer
    x = 4,106.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.